A computer system queues up batch jobs and processes them on an FCFS basis.Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require anaverage of 1.2 minutes of computer time. Assume the arrival process is Poissonand the processing times are exponentially distributed.d. What is the probability that the queue is empty?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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A computer system queues up batch jobs and processes them on an FCFS basis.
Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require an
average of 1.2 minutes of computer time. Assume the arrival process is Poisson
and the processing times are exponentially distributed.
d. What is the probability that the queue is empty?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,